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1 vote
2 answers
285 views

Formalization of a model of ∞-category in a proof assistant

I am aware of similar question in MO whose comment nicely lists zoo of possible models and only such models can be formalized. But I have not found any implementation so far which I could use or ...
TomR's user avatar
  • 133
11 votes
1 answer
288 views

Seven Trees in One, or How to formalize the Semiring of Types?

This is somewhat conceptual beginner's question about proof assistants. I've been re-reading the famous Seven Trees in One / Objects of categories as complex numbers. The gist: The type $T$ of binary ...
Dario's user avatar
  • 213
19 votes
2 answers
1k views

What are "fibration/cofibration" in type theory and what are their intuitions?

I keep seeing these phrasing in some proof assistants/elaborators and their issues/internal discussions (e.g. Github search results in cooltt), that seems not that related to the actual proofs/...
Anqur's user avatar
  • 301